Finite Group Databasebeta

← #8467058

Subgroups — #8467058

Order 512.

5430 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#58212C214yesmaximal, complemented
5#56398C214yesmaximal, complemented
6#55340C214yesmaximal, complemented
7#53103C212yesmaximal, complemented
8#53090C212yesmaximal, complemented
9#49863C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45518C212yesmaximal, complemented
12#45018C212yesmaximal, complemented
13#45010C212yesmaximal, complemented
14#42842C212yesmaximal, complemented
15#42677C212yesmaximal, complemented
16#42619C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#39958C212yesmaximal, complemented
19#39747C211yesmaximal, characteristic, complemented
20#39350C211yesmaximal, characteristic, complemented
21#39202C212yesmaximal, complemented
22#38987C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38254C212yesmaximal, complemented
25#38129C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37346C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36405C211yesmaximal, characteristic, complemented
30#36273C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#555C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#542C2212yes—
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C2×#529C2211yescharacteristic, complemented
47C2×C4×#41C2211yescharacteristic
48#2861C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2212yescomplemented
51#2858C2212yescomplemented
52#2857C2211yescharacteristic
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2855C2212yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2825C2214yescomplemented
61#2815C2214yescomplemented
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2812C2214yes—
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2786C2214yescomplemented
70#2786C2214yescomplemented
71#2784C2214yescomplemented
72#2752C2214yescomplemented
73#2752C2214yescomplemented
74#2740C2214yescomplemented
75#2735C2214yes—
76#2735C2214yes—
77#2730C2214yescomplemented
78#2717C2214yes—
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2711C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2706C2214yescomplemented
92#2698C2214yescomplemented
93#2696C2214yescomplemented
94#2695C2214yescomplemented
95#2691C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2686C2214yescomplemented
101#2678C2214yes—
102#2678C2214yes—
103#2678C2214yes—
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2673C2214yes—
108#2672C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2670C2214yes—
113#2670C2214yes—
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2657C2212yescomplemented
117#2653C2214yescomplemented
118#2644C2212yescomplemented
119#2644C2212yescomplemented
120#2644C2212yescomplemented
121#2640C2212yescomplemented
122#2640C2212yescomplemented
123#2638C2214yescomplemented
124#2625C2212yes—
125#2624C2214yescomplemented
126#2624C2212yescomplemented
127#2622C2214yes—
128#2619C2214yes—
129#2617C2214yes—
130#2610C2214yescomplemented
131#2603C2214yescomplemented
132#2601C2214yescomplemented
133#2595C2214yescomplemented
134#2582C2211yescharacteristic, complemented
135#2555C2214yescomplemented
136#2554C2214yescomplemented
137#2551C2211yescharacteristic, complemented
138#2548C2212yes—
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2212yescomplemented
143#2548C2212yescomplemented
144#2547C2212yes—
145#2547C2212yescomplemented
146#2547C2211yescharacteristic, complemented
147#2546C2211yescharacteristic, complemented
148#2545C2212yescomplemented
149#2544C2212yes—
150#2544C2212yescomplemented
151#2544C2212yescomplemented
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2212yes—
157#2541C2212yescomplemented
158#2540C2214yescomplemented
159#2540C2212yescomplemented
160#2535C2212yescomplemented
161#2530C2212yes—
162#2528C2212yescomplemented
163#2517C2212yescomplemented
164#2516C2214yescomplemented
165#2513C2212yescomplemented
166#2512C2212yescomplemented
167#2511C2211yescharacteristic, complemented
168#2506C2211yescharacteristic, complemented
169#2499C2211yescharacteristic, complemented
170#2496C2212yescomplemented
171#2494C2211yescharacteristic
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2490C2214yescomplemented
175#2489C2211yescharacteristic
176#2486C2212yes—
177#2485C2212yes—
178#2485C2211yescharacteristic
179#2482C2214yes—
180#2480C2214yes—
181#2479C2212yescomplemented
182#2478C2214yescomplemented
183#2472C2214yes—
184#2471C2212yescomplemented
185#2468C2214yes—
186#2467C2212yes—
187#2467C2214yescomplemented
188#2460C2212yes—
189#2456C2212yes—
190#2456C2214yescomplemented
191#2454C2212yescomplemented
192#2454C2212yescomplemented
193#2454C2211yescharacteristic, complemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2451C2212yescomplemented
197#2448C2211yescharacteristic, complemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yescomplemented
209#2441C2211yescharacteristic
210#2441C2211yescharacteristic, complemented
211#2440C2212yescomplemented
212#2435C2212yes—
213#2433C2212yes—
214#2432C2212yes—
215#2432C2212yescomplemented
216#2431C2212yes—
217#2431C2211yescharacteristic
218#2431C2212yes—
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2211yescharacteristic, complemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2212yescomplemented
228#2427C2212yescomplemented
229#2423C2211yescharacteristic, complemented
230#2420C2214yescomplemented
231#2418C2214yes—
232#2416C2212yescomplemented
233#2416C2212yescomplemented
234#2415C2212yes—
235#2415C2211yescharacteristic
236#2414C2211yescharacteristic
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2412C2214yes—
245#2410C2214yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2214yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2397C2212yes—
258#2395C2212yes—
259#2392C2212yes—
260#2377C2214yescomplemented
261#2366C2211yescharacteristic
262#2366C2212yescomplemented
263#2365C2212yescomplemented
264#2365C2211yescharacteristic, complemented
265#2363C2212yescomplemented
266#2363C2212yescomplemented
267#2362C2212yes—
268#2354C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic, complemented
270#2341C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2326C2212yescomplemented
275#2324C2214yescomplemented
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2319C2212yescomplemented
279#2311C2212yescomplemented
280#2309C2212yes—
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×#125C2211yescharacteristic, complemented
284C4×#125C2212yescomplemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290#2298C2212yes—
291#2296C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2295C2211yescharacteristic, complemented
294#2293C2212yescomplemented
295#2290C2212yescomplemented
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—44no—
306#555—48no—
307#553—48no—
308#550—44no—
309#546—48no—
310#546—48no—
311#542—48no—
312#535—48no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329#529—44no—
330C2×#126C2314yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#125C2311yescharacteristic
335C2×#125C2312yes—
336C2×#125C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2314yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C4×#41—44no—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439#401C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#399C2312yes—
446#399C2312yes—
447#399C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2312yes—
451#399C2312yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#395C2314yes—
498#395C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2312yes—
549#392C2312yes—
550#392C2312yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#391C2311yescharacteristic
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818#376C2312yes—
819#376C2312yes—
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—24no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2414yes—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C4⋊Q8—24no—
889C4⋊Q8—44no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892#127—24no—
893#127—24no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—42no—
899#127—44no—
900#127—44no—
901#127—44no—
902#126—44no—
903#126—48no—
904#126—48no—
905#126—48no—
906#125—24no—
907#125—42no—
908#125—44no—
909#124—48no—
910#124—48no—
911#124—44no—
912#124—42no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—48no—
921#124—84no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—44no—
926#123—48no—
927C22⋊Q8—28no—
928C22⋊Q8—24no—
929C22⋊Q8—48no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—84no—
934#121—24no—
935#121—28no—
936#121—44no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—42no—
945#121—44no—
946#121—48no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—84no—
959#121—84no—
960#121—84no—
961#121—82no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—42no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×D4—24no—
973C4×D4—28no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—82no—
995#117—28no—
996#117—28no—
997#117—24no—
998#117—44no—
999#117—48no—
1000#117—44no—
1001#117—42no—
1002#117—42no—
1003#117—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—28no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2514yes—
1233C24C2514yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2512yes—
1237C24C2511yescharacteristic
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—42no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—816no—
1338C2×D4—816no—
1339C2×D4—816no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—28no—
1362C22×C4—24no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—41no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—41no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4H(5,𝔽2)14yes—
1469C22⋊C4—22no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—28no—
1479C22⋊C4—22no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—41no—
1499C22⋊C4—44no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—24no—
1552C42—24no—
1553C42—28no—
1554C42—24no—
1555C42—24no—
1556C42—22no—
1557C42—24no—
1558C42—22no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—44no—
1567C42—41no—
1568C42—41no—
1569C42—44no—
1570C42—42no—
1571C42—42no—
1572C42H(5,𝔽2)14yes—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—22no—
1580C23—21no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—21no—
1587C23—24no—
1588C23—24no—
1589C23—21no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—22no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—21no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—22no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—164no—
1620C23—164no—
1621C23C2×H(5,𝔽2)12yes—
1622C23C2611yescharacteristic
1623Q8—44no—
1624Q8—48no—
1625Q8—44no—
1626Q8—164no—
1627D4—48no—
1628D4—44no—
1629D4—48no—
1630D4—44no—
1631D4—48no—
1632D4—48no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—88no—
1637D4—88no—
1638D4—84no—
1639D4—88no—
1640D4—84no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—84no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—28no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—44no—
1734C2×C4—48no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—164no—
1746C2×C4—164no—
1747C2×C4C2×H(5,𝔽2)14yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4#58512yes—
1755C2×C4#58512yes—
1756C2×C4#58512yes—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—42no—
1766C22—41no—
1767C22—44no—
1768C22—44no—
1769C22—44no—
1770C22—42no—
1771C22—41no—
1772C22—42no—
1773C22—44no—
1774C22—41no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—44no—
1784C22—41no—
1785C22—42no—
1786C22—44no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—44no—
1792C22—41no—
1793C22—44no—
1794C22—42no—
1795C22—41no—
1796C22—44no—
1797C22—44no—
1798C22—42no—
1799C22—1616no—
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C4—24no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—42no—
1813C4—42no—
1814C4—41no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—42no—
1823C4—44no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—44no—
1834C4#354214yes—
1835C4#354614yes—
1836C2—42no—
1837C2—82no—
1838C2—81no—
1839C2—82no—
1840C2—84no—
1841C2—84no—
1842C2C2×#354211yescharacteristic
1843C2C2×#354611yescharacteristic
1844C2#6283611yescharacteristic
1845C2#6291611yescharacteristic
1846C2#6292411yescharacteristic
1847C2#6296611yescharacteristic
1848C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59680C2semidirect
2. #59124C2semidirect
3. #59049C2semidirect
4. #58212C2semidirect
5. #56398C2semidirect
6. #55340C2semidirect
7. #53103C2semidirect
8. #53090C2semidirect
9. #49863C2semidirect
10. #46044C2semidirect
11. #45518C2semidirect
12. #45018C2semidirect
13. #45010C2semidirect
14. #42842C2semidirect
15. #42677C2semidirect
16. #42619C2semidirect
17. #42435C2semidirect
18. #39958C2semidirect
19. #39747C2semidirect
20. #39350C2semidirect
21. #39202C2semidirect
22. #38987C2semidirect
23. #38909C2semidirect
24. #38254C2semidirect
25. #38129C2semidirect
26. #37629C2semidirect
27. #37346C2semidirect
28. #37305C2semidirect
29. #36405C2semidirect
30. #36273C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35191C2semidirect
34. #34793C2semidirect
35. #34727C2semidirect
36. C2×#556C22semidirect
37. C2×#555C22semidirect
38. C2×#553C22semidirect
46. C2×#529C22semidirect
48. #2861C22semidirect
50. #2858C22semidirect
51. #2858C22semidirect
56. #2855C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2825C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2786C22semidirect
70. #2786C22semidirect
71. #2784C22semidirect
72. #2752C22semidirect
73. #2752C22semidirect
74. #2740C22semidirect
77. #2730C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2706C22semidirect
92. #2698C22semidirect
93. #2696C22semidirect
94. #2695C22semidirect
95. #2691C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2686C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
108. #2672C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
116. #2657C22semidirect
117. #2653C22semidirect
118. #2644C22semidirect
119. #2644C22semidirect
120. #2644C22semidirect
121. #2640C22semidirect
122. #2640C22semidirect
123. #2638C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
130. #2610C22semidirect
131. #2603C22semidirect
132. #2601C22semidirect
133. #2595C22semidirect
134. #2582C22semidirect
135. #2555C22semidirect
136. #2554C22semidirect
137. #2551C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2545C22semidirect
150. #2544C22semidirect
151. #2544C22semidirect
157. #2541C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2535C22semidirect
162. #2528C22semidirect
163. #2517C22semidirect
164. #2516C22semidirect
165. #2513C22semidirect
166. #2512C22semidirect
167. #2511C22semidirect
168. #2506C22semidirect
169. #2499C22semidirect
170. #2496C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2490C22semidirect
181. #2479C22semidirect
182. #2478C22semidirect
184. #2471C22semidirect
187. #2467C22semidirect
190. #2456C22semidirect
191. #2454C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2451C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
208. #2445C22semidirect
210. #2441C22semidirect
211. #2440C22semidirect
215. #2432C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2427C22semidirect
229. #2423C22semidirect
230. #2420C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
260. #2377C22semidirect
262. #2366C22semidirect
263. #2365C22semidirect
264. #2365C22semidirect
265. #2363C22semidirect
266. #2363C22semidirect
268. #2354C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2341C22semidirect
274. #2326C22semidirect
275. #2324C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2319C22semidirect
279. #2311C22semidirect
282. C4×#127C22semidirect
283. C4×#125C22semidirect
284. C4×#125C22semidirect
286. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
291. #2296C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#596802
#591242
#590492
#582122
#563982
#553402
#531032
#530902
#498632
#460442
#455182
#450182
#450102
#428422
#426772
#426192
#424352
#399582
#397472
#393502
#392022
#389872
#389092
#382542
#381292
#376292
#373462
#373052
#364052
#362732
#361212
#352722
#351912
#347932
#347272